List questions from exponential-function

Published on 12 Apr 2026 - 0:22

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Is $x$ not actually equal to $e^{\ln(x)}$?

Published on 12 Apr 2026 - 21:34

88

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On proving that $f(x) = f'(x)\iff f(x) = e^x$. (Not aware of a possible duplicate.)

Published on 15 Apr 2026 - 4:15

862

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Prove that $\frac{x}{e^x}$ tends to zero as $x \to \infty $

Published on 10 May 2026 - 14:56

80

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On proving that $(x+y)^z+(x+z)^y+(y+z)^x > 2 $ with $x,y,z > 0$.

Published on 11 May 2026 - 5:07

118

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How can I show the following trigonometric function

Published on 12 Apr 2026 - 4:09

43

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Simplify this equation

Published on 08 Apr 2026 - 23:59

91

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Proving this inequality by mathematical induction

Published on 16 Apr 2026 - 0:51

312

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Graph of $\log(3-x)$

Published on 16 Apr 2026 - 21:21

86

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How to simplify $\frac{(5+7i)}{(2+i)}*\left(\frac{(1+2i)}{(3+4i)}\right)^{-2}$

Published on 14 Apr 2026 - 21:19

85

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Prove that $\exp(r)≥\sum_{k=0}^n\left(\frac{r^k}{k!} \right)$ for any $n∈\mathbb{N}$ and $r≥0$.

Published on 11 May 2026 - 6:44

1k

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How to prove that $\pi > e\ln(\pi)$?

Published on 11 Apr 2026 - 20:02

289

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Product of Stretched exponential functions - Probability distribution

Published on 15 Apr 2026 - 11:26

68

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Is $\exp(x-x_0) = \exp(x)\cdot \exp(-x_0)$?

Published on 16 Apr 2026 - 7:42

84

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About QM power inequality.

Published on 10 May 2026 - 14:50

List Question

$de^{-x^2}$ as an integration variable

Is $x$ not actually equal to $e^{\ln(x)}$?

On proving that $f(x) = f'(x)\iff f(x) = e^x$. (Not aware of a possible duplicate.)

Prove that $\frac{x}{e^x}$ tends to zero as $x \to \infty $

On proving that $(x+y)^z+(x+z)^y+(y+z)^x > 2 $ with $x,y,z > 0$.

How can I show the following trigonometric function

Simplify this equation

Proving this inequality by mathematical induction

Graph of $\log(3-x)$

How to simplify $\frac{(5+7i)}{(2+i)}*\left(\frac{(1+2i)}{(3+4i)}\right)^{-2}$

Prove that $\exp(r)≥\sum_{k=0}^n\left(\frac{r^k}{k!} \right)$ for any $n∈\mathbb{N}$ and $r≥0$.

How to prove that $\pi > e\ln(\pi)$?

Product of Stretched exponential functions - Probability distribution

Is $\exp(x-x_0) = \exp(x)\cdot \exp(-x_0)$?

About QM power inequality.

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